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Calabi-Yau property of Quantum Groups of $GL(2)$ Representation Type

Published 24 Mar 2023 in math.QA | (2303.14051v1)

Abstract: In this paper, we prove that the quantum groups $G(A,B)$ introduced by Mrozinski and their Hopf-Galois objects are twisted Calabi-Yau algebras, and give their Nakayama automorphisms explicitly.

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